Subject: Mathematics
Book: Maths Mastery
Exponential functions like y=a^x typically have a horizontal asymptote on the x-axis (y=0) if a>1 or 0<a<1. Meanwhile, logarithmic functions y=log(x) have a vertical asymptote at x=0. For example, y=2^x never reaches y=0 but approaches it as x→–∞. Similarly, y=log(x) never touches x=0 but approaches from the positive side. Recognizing these boundaries is crucial for graphing or analyzing behavior at extremes (big x or near zero). This knowledge helps interpret growth or decay processes and domain constraints in advanced math or science contexts.
If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionIf a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?
View QuestionIf two complementary angles differ by 30°, what are the angles?
View QuestionA cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionIf sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?
View QuestionA square is inscribed in a circle with a radius of 5 cm. What is the area of the square?
View QuestionWhat is the value of log₃(27)?
View QuestionThe angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?
View QuestionIf x = 3 and y = 4, what is the value of x^2 + y^2?
View Question